Physics of non-Gaussian fields and the cosmological genus statistic

Abstract

We report a technique to calculate the impact of distinct physical processes inducing non-Gaussianity on the cosmological density field. A natural decomposition of the cosmic genus statistic into an orthogonal polynomial sequence allows complete expression of the scale-dependent evolution of the morphology of large-scale structure, in which effects including galaxy bias, nonlinear gravitational evolution and primordial non-Gaussianity may be delineated. The relationship of this decomposition to previous methods for analysing the genus statistic is briefly considered and the following applications are made: i) the expression of certain systematics affecting topological measurements; ii) the quantification of broad deformations from Gaussianity that appear in the genus statistic as measured in the Horizon Run simulation; iii) the study of the evolution of the genus curve for simulations with primordial non-Gaussianity. These advances improve the treatment of flux-limited galaxy catalogues for use with this measurement and further the use of the genus statistic as a tool for exploring non-Gaussianity.

AASTeX preprint, 24 pages, 8 figures, includes several improvements suggested by anonymous reviewer

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Cited by in corpus (6)

• Using the topology of large-scale structure in the WiggleZ Dark Energy Survey as a cosmological standard ruler
• Weakly non-Gaussian formula for the Minkowski functionals in general dimensions
• Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
• Systematic Effects on the Genus Topology of Large Scale Structure of the Universe
• Topology of Large-Scale Structures of Galaxies in Two Dimensions - Systematic Effects
• Large-Scale Structure Topology in Non-Standard Cosmologies: Impact of Dark Sector Physics